An investigation of the step-wise propagation of a mode-II fracture in a poroelastic medium

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Abstract

In this paper we use an eXtended Finite Element Method based model for the simulation of shear fracture in fully saturated porous materials. The fracture is incorporated as a strong discontinuity in the displacement field by exploiting the partition of unity property of finite element shape functions. The pressure is assumed to be continuous across the fracture. However, the pressure gradient, i.e. the fluid flow, can be discontinuous. The failure process is described by the cohesive zone approach and a Tresca fracture condition without dilatancy. We investigate the propagation of a shear fracture under compression asking the question whether or not a Tresca criterion can result in stepwise propagation in a poroelastic medium. In order to evaluate possible numerical artefacts, we also look at the influence of the element size and the magnitude of a time increment. The performance of the X-FEM model and the influence of the pore pressure on the fracture propagation are addressed. Our simulations do not show evidence for step wise progression in mode II failure.

LanguageEnglish
Pages10-15
Number of pages6
JournalMechanics Research Communications
Volume80
DOIs
StatePublished - 1 Mar 2017

Fingerprint

propagation
shear
Finite element method
shape functions
Pore pressure
porous materials
Pressure gradient
pressure gradients
progressions
fluid flow
Porous materials
artifacts
Flow of fluids
unity
partitions
Crack propagation
discontinuity
finite element method
simulation
porosity

Keywords

  • EXtended Finite Element Method
  • Porous materials
  • Shear fractures

Cite this

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abstract = "In this paper we use an eXtended Finite Element Method based model for the simulation of shear fracture in fully saturated porous materials. The fracture is incorporated as a strong discontinuity in the displacement field by exploiting the partition of unity property of finite element shape functions. The pressure is assumed to be continuous across the fracture. However, the pressure gradient, i.e. the fluid flow, can be discontinuous. The failure process is described by the cohesive zone approach and a Tresca fracture condition without dilatancy. We investigate the propagation of a shear fracture under compression asking the question whether or not a Tresca criterion can result in stepwise propagation in a poroelastic medium. In order to evaluate possible numerical artefacts, we also look at the influence of the element size and the magnitude of a time increment. The performance of the X-FEM model and the influence of the pore pressure on the fracture propagation are addressed. Our simulations do not show evidence for step wise progression in mode II failure.",
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An investigation of the step-wise propagation of a mode-II fracture in a poroelastic medium. / Remij, E.W.; Remmers, J.J.C.; Huyghe, J.M.; Smeulders, D.M.J.

In: Mechanics Research Communications, Vol. 80, 01.03.2017, p. 10-15.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Remmers,J.J.C.

AU - Huyghe,J.M.

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AB - In this paper we use an eXtended Finite Element Method based model for the simulation of shear fracture in fully saturated porous materials. The fracture is incorporated as a strong discontinuity in the displacement field by exploiting the partition of unity property of finite element shape functions. The pressure is assumed to be continuous across the fracture. However, the pressure gradient, i.e. the fluid flow, can be discontinuous. The failure process is described by the cohesive zone approach and a Tresca fracture condition without dilatancy. We investigate the propagation of a shear fracture under compression asking the question whether or not a Tresca criterion can result in stepwise propagation in a poroelastic medium. In order to evaluate possible numerical artefacts, we also look at the influence of the element size and the magnitude of a time increment. The performance of the X-FEM model and the influence of the pore pressure on the fracture propagation are addressed. Our simulations do not show evidence for step wise progression in mode II failure.

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